GCF of 7271/131, 7098/3549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7271/131, 7098/3549 i.e 1/464919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7271/131, 7098/3549.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7271/131,7098/3549?
Given fractions are 7271/131,7098/3549
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7271/131,7098/3549, numerators are 7271,7098
Denominators are 131,3549
The GCF of 7271,7098 is 1 .
LCM of 131,3549 is 464919.
The greatest common factor of 7271/131,7098/3549 = [GCF of 7271,7098]/[LCM of 131,3549]= 1/464919
Therefore, the GCF of 7271/131,7098/3549 is 1/464919.
To find the highest common factor of 7271,7098, we have to find the factors of both numbers and list the highest common factor.
The factors of 7271 are 1, 11, 661, 7271
The factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098
The HCF of 7271,7098 is 1.
Lets's calculate GCF of 7271,7098
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7271,7098 By Matching Biggest Common Factor Method
Now, list down the factors of 7271
:1,11,661,7271
Now, list down the factors of 7098
:1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098
Greatest Common Factor
We found the factors 7271,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 7271,7098 is 1.
Lets's calculate LCM of 131,3549
Given numbers has no common factors except 1. So, there LCM is their product i.e 464919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464919
Therefore, the GCF of Fractions 7271/131,7098/3549 is 1/464919
Least Common Multiple of 131,3549 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 131,3549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,3549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,3549) x common factors =1 x 1 = 1
LCM(131,3549) = ( 131 × 3549 ) / 1
LCM(131,3549) = 464919 / 1
LCM(131,3549) = 464919
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FAQs on GCF of Fractions of 7271/131, 7098/3549
1. What is the HCF of 7271,7098?
The HCF of 7271,7098 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7271/131, 7098/3549?
Answer: GCF of Numerators as per given numbers 7271/131, 7098/3549 is
GCF of Numerators i.e. for 7271,7098 is 1
LCM of denominators i.e. for 131,3549 is 464919.
Thus, GCF of Fractions is 1/464919.Finally, GCF of Fractions for 7271/131, 7098/3549 is 1/464919.